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Probability and Random Variables: Theory and Applications de Iickho Song

Probability and Random Variables: Theory and Applications

Autor Iickho Song, So Ryoung Park, Seokho Yoon
en Limba Engleză Hardback – 25 mai 2022
This book discusses diverse concepts and notions – and their applications – concerning probability and random variables at the intermediate to advanced level. It explains basic concepts and results in a clearer and more complete manner than the extant literature. In addition to a range of concepts and notions concerning probability and random variables, the coverage includes a number of key advanced concepts in mathematics. Readers will also find unique results on e.g. the explicit general formula of joint moments and the expected values of nonlinear functions for normal random vectors. In addition, interesting applications of the step and impulse functions in discussions on random vectors are presented. Thanks to a wealth of examples and a total of 330 practice problems of varying difficulty, readers will have the opportunity to significantly expand their knowledge and skills. The book is rounded out by an extensive index, allowing readers to quickly and easily find what they are looking for.

Given its scope, the book will appeal to all readers with a basic grasp of probability and random variables who are looking to go one step further. It also offers a valuable reference guide for experienced scholars and professionals, helping them review and refine their expertise.
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Specificații

ISBN-13: 9783030976781
ISBN-10: 3030976785
Pagini: 508
Ilustrații: XII, 496 p. 104 illus., 94 illus. in color.
Dimensiuni: 160 x 241 x 33 mm
Greutate: 0.87 kg
Ediția:1st ed. 2022
Editura: Springer
Locul publicării:Cham, Switzerland

Cuprins

Preface.- Chapter 1 - Preliminaries.- Chapter 2 - Fundamentals of Probability.- Chapter 3 - Random Variables.- Chapter 4 - Random Vectors.- Chapter 5 - Normal Random Vectors.- Chapter 6 - Convergence of Random Variables.- Answers to Selected Exercises.- Index.

Notă biografică

Iickho Song received the BSE and MSE degrees in electronics engineering from Seoul National University, Seoul, Korea, in 1982 and 1984, respectively, and the MSE and Ph.D. degrees in electrical engineering from the University of Pennsylvania, Philadelphia, PA, USA, in 1985 and 1987, respectively. In March 1988, Dr. Song joined the School of Electrical Engineering, Korea Advanced Institute of Science and Technology, Daejeon, Korea, where Dr. Song is currently a Professor. Dr. Song was an International Visiting Professor at the University of Science and Technology of China, Hefei, Anhui, China, in 2023.
The research interests of Dr. Song include communications theory, signal detection theory, and statistical signal processing. Dr. Song is a Fellow of the IEEE, IET, and KICS. So Ryoung Park received the BS degree in electronics engineering from Yonsei University, Seoul, Korea, in 1997, and the MSE and Ph.D. degrees in electrical engineering from Korea Advanced Institute of Science and Technology, Daejeon, Korea, in 1999 and 2002, respectively. In March 2003, Dr. Park joined the School of Information, Communications, and Electronics Engineering, the Catholic University of Korea, Bucheon, Korea, where Dr. Park is currently a Professor. The research interests of Dr. Park include detection and estimation theory, statistical signal processing, and wireless communications. Dr. Park is a Senior Member of the IEEE. Wenyi Zhang received the bachelor's degree in automation from Tsinghua University, Beijing, China, in 2001, and the master's and Ph.D. degrees in electrical engineering from the University of Notre Dame, Notre Dame, IN, USA, in 2003 and 2006, respectively. Dr. Zhang is currently a Professor with the Department of Electronic Engineering and Information Science, University of Science and Technology of China, Hefei, China. Prior to that, Dr. Zhang was with the University of Southern California, LosAngeles, CA, USA, as a postdoctoral research associate, and the Corporate Research and Development, Qualcomm Incorporated, San Diego, CA, USA. The research interests of Dr. Zhang include wireless communications, information theory, and signal detection/estimation. Dr. Zhang is a Senior Member of the IEEE. Seungwon Lee received the Ph.D. degree in electrical engineering from Korea Advanced Institute of Science and Technology (KAIST), Daejeon, Korea, in 2018. From 2018 to 2020, Dr. Lee was with the School of Electrical Engineering, KAIST as a Postdoctoral Research Fellow. Since 2020, Dr. Lee has been with the Modem Development Team, SOC Development, System LSI Business Department, Samsung Electronics, Hwaseong-si, Gyeonggido Korea. The research interests of Dr. Lee include mobile communications, detection and estimation theory, and statistical signal processing. Dr. Lee is a Senior Member of the IEEE.

Textul de pe ultima copertă

This book discusses diverse concepts and notions – and their applications – concerning probability and random variables at the intermediate to advanced level. It explains basic concepts and results in a clearer and more complete manner than the extant literature. In addition to a range of concepts and notions concerning probability and random variables, the coverage includes a number of key advanced concepts in mathematics. Readers will also find unique results on e.g. the explicit general formula of joint moments and the expected values of nonlinear functions for normal random vectors. In addition, interesting applications of the step and impulse functions in discussions on random vectors are presented. Thanks to a wealth of examples and a total of 330 practice problems of varying difficulty, readers will have the opportunity to significantly expand their knowledge and skills. The book is rounded out by an extensive index, allowing readers to quickly and easily find what they are looking for.

Given its scope, the book will appeal to all readers with a basic grasp of probability and random variables who are looking to go one step further. It also offers a valuable reference guide for experienced scholars and professionals, helping them review and refine their expertise.

Caracteristici

Inspires readers to advance beyond the basic level in probability and random variables. Offers a valuable resource for reviewing familiar concepts, in addition to some unique methods and contents. Enhances readers’ understanding with a total of 330 practice problems, with a complete solution manual. "Request lecturer material: sn.pub/lecturer-material"